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. Abstract. This Survey presents a novel structure : the Lie algebra ARI along with its group GARI. It then goes on to sketch some of the advances which ARI/GARI made possible in the eld of MZV (multiple zeta values) arithmetics, and what promises it holds for the investigation of the related, but much broader phenomenon of numerical dimorphy.

ARI/GARI, la dimorphie et l'arithmétique des multizêtas : un premier bilan